Define a new interpretation of the description “dynamical system” for a collection of interdependent differential equations?

Question
Equations
asked 2021-02-21
Define a new interpretation of the description “dynamical system” for a collection of interdependent differential equations?

Answers (1)

2021-02-22
Step 1
“dynamical system” is the area in mathematics that is used to study the complex dynamical system of the differential equations.
it is also known as chaos theory
Step 2
here the focus is not on finding precise solutions to the equations.
it is used in various fields such as computer science, economics, psychology, earthquake prediction, and many more
0

Relevant Questions

asked 2020-11-30
Define system of simultaneous ordinary differential equations?
asked 2020-11-09
decide if the given statement is true or false,and give a brief justification for your answer.If true, you can quote a relevant definition or theorem. If false,provide an example,illustration,or brief explanation of why the statement is false.
Q) The system of differential equations \(\displaystyle{x}′={t}{y}+{5}{\left({\sin{{t}}}\right)}{y}−{3}{e}^{{t}},{y}′={t}^{{2}}{x}−{7}{x}{y}−{1}\) is a first-order linear system of differential equations.
asked 2020-10-27
What is a system of linear equations? Provide an example with description.
asked 2020-11-08
Directions: Define 2 variables, write 2 equations, and solve the system of equations.
The North Ridgeville Football team played a game against Avon last week. A total of 125 points were scored by both teams. The teams scored a total of 22 six-point touchdowns and three-point field goals. In additon, there were 4 two-point safeties and 12 one-point kids scored. How many touchdowns and field goals were scored by the teams during the game?
asked 2020-12-15
Suppose a nonhomogeneous system of six linear equations in eight unknowns has a solution, with two free variables. Is it possible to change some constants on the equations’ right sides to make the new system inconsistent?
asked 2020-11-08
Suppose that a nonhomogeneous system with 10 linear equations in 8 unknowns has a solution with 2 free variables. Is it possible to change some constants on the equations’ right hand side to make the new system inconsistent?
asked 2021-02-13
solve the given system of differential equations.
\(\displaystyle\frac{{{\left.{d}{x}\right.}_{{1}}}}{{{\left.{d}{t}\right.}}}={2}{x}_{{1}}-{3}{x}_{{2}}\)
\(\displaystyle\frac{{{\left.{d}{x}\right.}_{{2}}}}{{{\left.{d}{t}\right.}}}={x}_{{1}}-{2}{x}_{{2}}\)
asked 2021-02-09
Solve the given system of differential equations.
\(\displaystyle{Q}.{x}′_{{1}}={x}_{{1}}−{3}{x}_{{2}},{x}′_{{2}}={3}{x}_{{1}}+{x}_{{2}}\).
asked 2020-12-17
Give a geometric description of the set of points in space whose coordinates satisfy the given pairs of equations. \(\displaystyle{x}^{{2}}+{\left({y}-{1}\right)}^{{2}}+{z}^{{2}}={4},{y}={0}\)
asked 2020-12-24
Give a geometric description of the set of points in space whose coordinates satisfy the given pairs of equations. \(\displaystyle{x}^{{2}}+{y}^{{2}}={4},{z}={y}\)
...